Your connector limit depends on your plan. The full table of limits per plan is in Plans, billing, connector limits and credits. During the 14-day trial you can have up to 1,000 connectors.
What counts toward your limit
Users: everyone who can sign in, including Owners and Admins.
Connectors: people added on the Connectors page, through the invite link or by the AI Network Mapper.
Pending invitations: from the moment you send them until they're accepted or revoked.
Checking your count
The Connectors page header shows X / Y connectors used. A warning appears at 80% of your limit.
When you reach the limit
New connectors are added as pending connectors. You'll find them in the Pending Connectors tab under Connectors. They stay locked until an Owner or Admin upgrades the plan or removes connectors, then unlock automatically. Everything else in The Swarm keeps working. See What are pending connectors?